58 citations · 141 across the 15 of their papers we have counts for
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solv-int1996
Darboux Coverings and Rational Reductions of the KP Hierarchy
Paolo Casati, Gregorio Falqui, Franco Magri +1
We use the method of Darboux coverings to discuss the invariant submanifolds of the KP equations, presented as conservation laws in the space of monic Laurent series in the spectra…
solv-int1996★ 17 cited
A Note on Fractional KdV Hierarchies
Paolo Casati, Gregorio Falqui, Franco Magri +1
We introduce a hierarchy of mutually commuting dynamical systems on a finite number of Laurent series. This hierarchy can be seen as a prolongation of the KP hierarchy, or a ``redu…